Geodesic
On the Approximation of Differentiable Functions by Bernstein Polynomials and Kantorovich Polynomials
Informatics and Automation, Function theory and nonlinear partial differential equations, Tome 260 (2008), pp. 289-296.

Voir la notice de l'article provenant de la source Math-Net.Ru

E. V. Voronovskaya and S. N. Bernstein established an asymptotic representation for the deviation of functions from Bernstein polynomials under the condition that the function has an even-order derivative. In the present paper, a similar problem is solved in the case when the function has an odd-order derivative. In addition, analogous representations are obtained for the deviations of functions from Kantorovich polynomials. 
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S. A. Telyakovskii. On the Approximation of Differentiable Functions by Bernstein Polynomials and Kantorovich Polynomials. Informatics and Automation, Function theory and nonlinear partial differential equations, Tome 260 (2008), pp. 289-296. http://geodesic.mathdoc.fr/item/TRSPY_2008_260_a18/

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